87 citations · 454 across the 24 of their papers we have counts for
Showing 2012 · math.GRShow all
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math.GR2012★ 11 cited
Stallings Graphs, Algebraic Extensions and Primitive Elements in F2
Ori Parzanchevski, Doron Puder
This paper studies the free group of rank two from the point of view of Stallings core graphs. The first half of the paper examines primitive elements in this group, giving new and…
math.GR2012★ 17 cited
On the Fourier Expansion of Word Maps
Ori Parzanchevski, Gili Schul
Frobenius observed that the number of times an element of a finite group is obtained as a commutator is given by a specific combination of the irreducible characters of the group.…
math.GR2012★ 68 cited
Measure Preserving Words are Primitive
Doron Puder, Ori Parzanchevski
We establish new characterizations of primitive elements and free factors in free groups, which are based on the distributions they induce on finite groups. For every finite group…